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Finding the Fourth Proportional to 9,551.91, 14,320.95 and 6,424.17

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Solution

The fourth proportional to 9,551.91, 14,320.95 and 6,424.17 is: 9,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.91 : 14,320.95 = 6,424.17 : x
  2. Step 2: Convert to fraction form
    9,551.91/14,320.95 = 6,424.17/x
  3. Step 3: Cross multiply
    9,551.91x = 14,320.95 × 6,424.17
  4. Step 4: Simplify right side
    9,551.91x = 92,000,217.36
  5. Step 5: Solve for x
    x = 92,000,217.36/9,551.91
  6. Step 6: Final answer
    x = 9,631.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.